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Finding the Fourth Proportional to 2,592.56, 3,889.49 and 743.83

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Solution

The fourth proportional to 2,592.56, 3,889.49 and 743.83 is: 1,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.56 : 3,889.49 = 743.83 : x
  2. Step 2: Convert to fraction form
    2,592.56/3,889.49 = 743.83/x
  3. Step 3: Cross multiply
    2,592.56x = 3,889.49 × 743.83
  4. Step 4: Simplify right side
    2,592.56x = 2,893,119.35
  5. Step 5: Solve for x
    x = 2,893,119.35/2,592.56
  6. Step 6: Final answer
    x = 1,115.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.